When zimun is said with ten or more, must God's name ('Eloheinu') be mentioned in the zimun formula?

BlessingsBirkat HaMazon

Synopsis

When ten or more eat together, all authorities agree that 'Eloheinu' must be added to the zimun formula — 'Nevarekh Eloheinu.' The quantity (10, 100, 1000, ten thousand) makes no difference; the formula remains the same.

Early Acharonim
Late Acharonim
Lenient
Strict
Lesser cited
Major authority

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